Prime p₀= 2181275396548159589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Penguin
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2181272323657845767	0 66 72 84 104 114 116 156 200 240 242 252 272 284 290 356	-3072890313822
STPT(10)	2181273441644379737	0 2 54 56 72 74 90 92 144 146	-1954903779852
STPT(10)	2181274166654513891	0 2 36 38 78 80 120 122 156 158	-1229893645698
SPT(16)	2181274973691961981	0 18 22 28 52 72 126 130 168 172 226 246 270 276 280 298	-422856197608
SPT(16)	2181275267226194203	0 18 28 30 60 78 204 208 210 214 340 358 388 390 400 418	-129321965386
SPT(16)	2181275333095563559	0 22 24 54 82 100 108 114 178 184 192 210 238 268 270 292	-63452596030
TPT(14)	2181275536414631687	0 2 30 32 90 92 120 122 132 134 162 164 324 326	139866472098
STPT(10)	2181275749585174139	0 2 18 20 60 62 102 104 120 122	353037014550
SPT(16)	2181275885591313983	0 8 20 38 54 66 120 150 194 224 278 290 306 324 336 344	489043154394
TPT(14)	2181275933390313479	0 2 12 14 30 32 150 152 192 194 210 212 228 230	536842153890
STPT(10)	2181276007132145969	0 2 12 14 90 92 168 170 180 182	610583986380